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Open Quantum Systems Decoherence Quantum Simulation

Non-Hermitian Landau Levels

arXiv
Authors: Anton Montag, Tomoki Ozawa

Year

2026

Paper ID

68405

Status

Preprint

Abstract Read

~2 min

Abstract Words

71

Citations

0

Abstract

We formulate non-Hermitian Landau levels in two-dimensional systems under a complex perpendicular magnetic field. In the symmetric gauge, we derive their discretely spaced, highly degenerate complex spectra and biorthogonal eigenstates, and clarify the role of non-unitary gauge transformations. A non-Hermitian Harper-Hofstadter lattice model confirms the continuum theory and reveals Gaussian wave packet dynamics governed by semiclassical equations with a complex Lorentz force, pointing to possible experimental realizations of complex magnetic fields.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We formulate non-Hermitian Landau levels in two-dimensional systems under a complex perpendicular magnetic field.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2605.23613 [2] arXiv https://arxiv.org/abs/2605.23613 [3] Publisher https://arxiv.org/abs/2605.23613

Local Citation Graph (Related-Paper Links)

Current Paper #68405 #69040 Collective Emission in LH2 Asse... #69030 Non-Hermitian Crystalline Braid... #69029 Higher-order Symmetric Quantum ... #69027 Computational Superiority of No...

External citation index: OpenAlex citation signal • updated 2026-06-15 06:02:45

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